Answer:
1) 12 - 4m
2) -10 - 15b
3) 44r - 30
4) -23 +21g
5) 10y
6) -5x - 10
7) -13r - 1
8) 11g - 7
9) 6n
10) -18n - 12
Explanation:
Note:
a) Simplification is making sure that the expression can no longer be worked on.
b) "Minus * Minus = Plus" , "Plus * Plus = Plus" and "Minus * Plus = Minus"
c) Like terms are terms that are of the same type
1) 7 - 4m + 5
collect like terms
= (7+5) - 4m
= 12 - 4m
2) -5(2 + 3b)
Multiply each term by -5
= -10 - 15b
3) 4r - 5(-8r + 6)
open the bracket by multiplying each term in the bracket by -5
= 4r + 40r - 30
collect like terms
= 44r - 30
4) -3(9-7g) + 4
open the bracket by multiplying each term in the bracket by -3
= -27 + 21g + 4
collect like terms
= -23 +21g
5) 9y + y
both terms are alike
∴ 10y
6) -9x - 2 - 8 + 4x
collect like terms
= -9x + 4x - 2 - 8
= -5x - 10
7) -6r - 7r - 9 + 8
collecting the like terms
= -13r - 1
8) 6g + 5g - 7
Collecting like terms
= 11g - 7
9) 7n - n
both are like terms
= 6n
10) 6(-3n - 2)
Open the bracket by multiplying each term by 6
= -18n - 12